[PDF] Top 20 General iterative algorithms for mixed equilibrium problems, a general system of generalized equilibria and fixed point problems

... which was considered and studied in [–]. The set of solutions of the EP is denoted by EP(F). Given a mapping A : C → H, let F(x, y) = Ax, y – x for all x, y ∈ C. Then z ∈ EP(F) if and only if Ax, y – x ≥  for all y ∈ ... See full document

... a general iterative algorithm for finding a common solution of a mixed equilibrium problem, a general system of variational inequalities and a fixed point problem of ... See full document

... Numerous problems in physics, optimization, and economics reduce to finding a solution of problem ...(1.1). Equilibrium problems have been studied extensively ...an iterative scheme for ... See full document

... the fixed point problem, many authors have introduced some iterative schemes for finding a common element of the set of the solutions of the problem ...of fixed points of a counta- ble family ... See full document

... new iterative algorithm for finding a common element of the set of solutions of a system of generalized mixed equilibrium problems, the set of common fixed points of a finite family ... See full document

... is called the resolvent operator associated with M, where l is any positive number and I is the identity mapping. In the worth mentioning that the resolvent operator is nonexpansive, 1-inverse-strongly monotone and that ... See full document

... an iterative algorithm for finding a common solution of a system of generalized equilibrium problems and a fixed point problem of strictly pseudo-contractive mapping in the setting ... See full document

... approximation iterative method to prove a strong convergence theorem for finding a common element of the set of fixed points of strict pseudocontractions, the set of common solutions of the system of ... See full document

... an iterative scheme of finding the best approximation to initial data when EPΦ is nonempty and proved a strong convergence ...some iterative algorithms for solving equi- librium problems in ... See full document

... new iterative algorithms with variable coefficients for finding a common element of the set of solutions of a generalized equilibrium problem, the set of solutions of the variational inequality ... See full document

... an iterative method for finding a common solution of a variational inequality, a generalized mixed equilibrium problem, and a hierarchical fixed point problem in the setting of real ... See full document

... very general in the sense that it includes, as special cases, optimization problems, variational inequalities, minimax problems, and Nash equilibrium problems; see, for example, ...a ... See full document

... is called the resolvent operator associated with M, where λ is any positive number and I is the identity mapping. It is worth mentioning that the resolvent operator is nonexpansive, 1-inverse-strongly monotone and that a ... See full document

... for equilibrium problems and fixed point problems of nonexpan- sive mappings have been extensively ...However, iterative schemes for strict pseudo-contractions are far less developed ... See full document

... hybrid iterative method for finding a common element of the set of common solutions of generalized mixed equilibrium problems and the set of common fixed points of an finite ... See full document

... the generalized equilibrium problem. In this article, we mixed and modified the iterative methods ...new general viscosity iterative method: x  , u n ∈ C ... See full document

... an iterative algorithm for solving mixed equilibrium problems and fixed points problems has been ...of mixed equilibrium problems and fixed points ... See full document

... In this paper, based on Yamada’s hybrid steepest descent method, a general iterative method is proposed for solving constrained convex minimization problem. It is proved that the sequences generated by ... See full document

... to be pseudocontractive if k =  and T is said to be strongly pseudocontractive if there exists a positive constant λ ∈ (, ) such that T – λI is pseudocontractive. Clearly, the class of k-strictly pseudocontractive ... See full document

... hybrid iterative algorithm for finding a common element of the set of fixed points of an infinite family of nonexpansive mappings, the set of solutions of the variational inequality of a monotone mapping, ... See full document